I need help with this problem .
1 answer:
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Answer:
Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) The dimensions of this surface are 6 in x 6 in
Part 3) Molly needs to paint 228 square inches
Step-by-step explanation:
The picture of the question in the attached figure
Part 1) Which surface is shared by the two solids?
we know that
The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid
Part 2) What are the dimensions of this surface?
The surface is a square with side length 6 inches
so
The dimensions of this surface are 6 in x 6 in
Part 3) what is the area molly needs to paint?
we know that
The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids
so
therefore
Molly needs to paint 228 square inches
Answer: see image attached
y<x/2+6 is the yellowish area (with dashed boundary as that does not belong to the solution space)
x+3y>=12 is rearranged as y>=-x/3+4 and solutions correspond to the bluish shaded area (with solid line, due to the equal sign)
The solutions satisfying both inequalities are in the overlap area of the two.
